Parking available in the open air Laz Parking lots next to the Seaport World Trade Center, Boston, Massachusetts and under the Seaport Hotel next to the World Trade Center – Plenty of parking available next to the site. $13, $12 or $11 for up to 12 hours depending on the lot location next to or near the World Trade Center. Seaport Hotel underground parking is $18 for up to 12 hours. (Subject to change with out notice ) .